Option: C is the correct answer.
The best prediction for the percent of people in an audience who will finish watching a documentary that is 180 minutes long is:
C. 32%
The regression equation is given by:
[tex]y=-0.414x+106.55[/tex]
where y denote the percent of people in an audience who finish watching a documentary.
and x denote the length of the film in minutes.
Now, we are asked to find the value of y when the value of x is :180
when x=180 we have:
[tex]y=-0.414\times 180+106.55\\\\i.e.\\\\y=-74.52+106.55\\\\i.e.\\\\y=32.03[/tex]
which is approximately equal to 32.
Hence, the answer is: 32%
